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122229660 = 223571721953
BaseRepresentation
bin1110100100100…
…01001110011100
322111222220120110
413102101032130
5222242322120
620043450020
73012635460
oct722211634
9274886513
10122229660
1162aa4a53
1234b26910
131c427a57
141233a4a0
15aae62e0
hex749139c

122229660 has 288 divisors, whose sum is σ = 445616640. Its totient is φ = 24440832.

The previous prime is 122229637. The next prime is 122229673. The reversal of 122229660 is 66922221.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2306194 + ... + 2306246.

It is an arithmetic number, because the mean of its divisors is an integer number (1547280).

Almost surely, 2122229660 is an apocalyptic number.

122229660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122229660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222808320).

122229660 is an abundant number, since it is smaller than the sum of its proper divisors (323386980).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122229660 is a wasteful number, since it uses less digits than its factorization.

122229660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 122229660 is about 11055.7523488906. The cubic root of 122229660 is about 496.2785841788.

The spelling of 122229660 in words is "one hundred twenty-two million, two hundred twenty-nine thousand, six hundred sixty".